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A direct proof of the equivalence of side conditions for strictly positive real matrix transfer functions

Abstract : This brief note proves in a direct way that two different side conditions, which have been used in the literature to characterize strictly positive real matrix transfer functions in the frequency domain, are equivalent.
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https://hal.inria.fr/hal-01947938
Contributor : Bernard Brogliato <>
Submitted on : Friday, December 7, 2018 - 12:13:12 PM
Last modification on : Wednesday, March 10, 2021 - 3:04:03 PM
Long-term archiving on: : Friday, March 8, 2019 - 2:01:11 PM

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Augusto Ferrante, Alexander Lanzon, Bernard Brogliato. A direct proof of the equivalence of side conditions for strictly positive real matrix transfer functions. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2020, 65 (1), pp.450-452. ⟨10.1109/TAC.2019.2918123⟩. ⟨hal-01947938⟩

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